What is the inverse of f(x)=(-3x+7)/(2x+6) ?

The inverse of f(x)=(-3x+7)/(2x+6) is (7-6x)/(2x+3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=(-3x+7)/(2x+6)

inverse

f (x) = \frac{- 3 x + 7}{2 x + 6}

\frac{7 - 6 x}{2 x + 3}

Solution steps

y = \frac{- 3 x + 7}{2 x + 6}

Replace

x

with

y

x = \frac{- 3 y + 7}{2 y + 6}

Solve for

y, x = \frac{- 3 y + 7}{2 y + 6}

\frac{7 - 6 x}{2 x + 3}

f (x) = \frac{2}{3} x + 10

f (x) = \frac{1}{2} 2 x + 1

\frac{1}{x ^{2} - 6 x + 9}

f (x) = y^{2}

f (x) = - \frac{9}{10 x}

What is the inverse of f(x)=(-3x+7)/(2x+6) ?
The inverse of f(x)=(-3x+7)/(2x+6) is (7-6x)/(2x+3)